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Finding the Fourth Proportional to 13,646.56, 20,469.86 and 9,253.12

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Solution

The fourth proportional to 13,646.56, 20,469.86 and 9,253.12 is: 13,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.56 : 20,469.86 = 9,253.12 : x
  2. Step 2: Convert to fraction form
    13,646.56/20,469.86 = 9,253.12/x
  3. Step 3: Cross multiply
    13,646.56x = 20,469.86 × 9,253.12
  4. Step 4: Simplify right side
    13,646.56x = 189,410,070.96
  5. Step 5: Solve for x
    x = 189,410,070.96/13,646.56
  6. Step 6: Final answer
    x = 13,879.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.